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An output controllability problem for semilinear distributed hyperbolic systems

100%
Zerrik E., Larhrissi R., Bourray H.
International Journal of Applied Mathematics and Computer Science
|
2007
|
tom 17
|
nr 4
437-448
EN
The paper aims at extending the notion of regional controllability developed for linear systems cite to the semilinear hyperbolic case. We begin with an asymptotically linear system and the approach is based on an extension of the Hilbert uniqueness method and Schauder's fixed point theorem. The analytical case is then tackled using generalized inverse techniques and converted to a fixed point problem leading to an algorithm which is successfully implemented numerically and illustrated with examples.
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On the constrained controllability of dynamical systems with multiple delays in the state

88%
Sikora B.
International Journal of Applied Mathematics and Computer Science
|
2003
|
tom 13
|
nr 4
469-479
EN
Linear stationary dynamical systems with multiple constant delays in the state are studied. Their relative and approximate controllability properties with constrained controls are discussed. Definitions of various types of controllability with constrained controls for systems with delays in the state are introduced. Some theorems concerning the relative and the approximate relative controllability with constrained controls for dynamical systems with delays in the state are established. Various types of constraints are considered. Numerical examples illustrate the theoretical analysis. An example of a real technical dynamical system is given to indicate one of possible practical applications of the theoretical results.
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